Article
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Spacetime as a Complex Network and the Cosmological Constant Problem
Version 1
: Received: 9 May 2023 / Approved: 10 May 2023 / Online: 10 May 2023 (14:28:45 CEST)
A peer-reviewed article of this Preprint also exists.
Nesterov, A. Spacetime as a Complex Network and the Cosmological Constant Problem. Universe 2023, 9, 266. Nesterov, A. Spacetime as a Complex Network and the Cosmological Constant Problem. Universe 2023, 9, 266.
Abstract
We propose a promising model of discrete spacetime based on nonassociative geometry and complex networks. Our approach treats space as a simplicial 3-complex (or complex network), built from "atoms" of spacetime and entangled states forming n-dimensional simplices (n=1,2,3). At large scales, a highly connected network is a coarse, discrete representation of a smooth spacetime. We show that for high temperatures, the network describes disconnected discrete space. At the Planck temperature, the system experiences the phase transition, and for low temperatures, the space becomes a triangulated discrete space. We show that the cosmological constant depends on the universe’s topology. The "foamy" structure, analogous to Wheeler’s "spacetime foam," significantly contributes to the effective cosmological constant, which is determined by the Euler characteristic of the universe.
Keywords
Emergent spacetime; Discrete spacetime; Cosmological constant; Nonassociative geometry; Euler characteristic; Complex networks
Subject
Physical Sciences, Theoretical Physics
Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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